Intersystem Non-separability and CHSH-Bell Violations in Classical Optics

Abstract

A method is proposed to produce a classical optical state that is `intersystem nonseparable' and a close analog of the ${\varphi }^{+}$ Bell state. A derivation of the CHSH-Bell inequality is sketched within the framework of classical polarization optics, using non-contextuality for factorizable states as an axiom rather than any hidden variable theory. It is shown that the classical state violates this inequality.

arXiv comment10 pages, two figures (Abstract slightly modified); typos corrected, stylistic changes made, one figure added, one Appendix added, title slightly modified; no fundamental changes made